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Finding the Fourth Proportional to 8,036.91, 12,040.77 and 7,861.95

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Solution

The fourth proportional to 8,036.91, 12,040.77 and 7,861.95 is: 11,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.91 : 12,040.77 = 7,861.95 : x
  2. Step 2: Convert to fraction form
    8,036.91/12,040.77 = 7,861.95/x
  3. Step 3: Cross multiply
    8,036.91x = 12,040.77 × 7,861.95
  4. Step 4: Simplify right side
    8,036.91x = 94,663,931.70
  5. Step 5: Solve for x
    x = 94,663,931.70/8,036.91
  6. Step 6: Final answer
    x = 11,778.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.